- 5 + 7k = -19
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Answers

Answer 1
Answer:

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2


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the radius of the cone is 1.75 inches, and it’s height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

Answers

Explanation:

The volume of a cone is:

V_(c)=(1)/(3)\pi r^2 h \n \n \n Where: \n \n r:\text{Radius of the cone} \n \n h:\text{height of the cone}

Here:

r=1.75in \n \n h=3.5in

So, substituting into the formula:

V_(c)=(1)/(3)\pi (1.75)^2(3.5)\approx 11.22in

The gum ball is spherical. so the volume of a sphere is:

V_(e)=(4)/(3)\pi r^3 \n \n \n Where: \n \n r:\text{Radius of the gum ball} \n \n \n \text{We know that the diameter of this ball is} \ d=0.5in \ \text{so the radius is:} \n \n r=0.5/2=0.25in

Therefore:

V_(e)=(4)/(3)\pi (0.25)^3\approx 0.065

Finally, the volume (V) of the cone that can be filled with flavored ice is:

V=V_(c)-V_(e)=11.22-0.065 \n \n \boxed{V\approx 11.15in^3}

Seventy percent of light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the aircraft not discovered do not have an emergency locator. Suppose that a light aircraft has disappeared.a) If it has an emergency locator, what is the probability that it will not be discovered?b) If it does not have an emergency locator, what is the probability that it will be discovered?c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

Answers

Answer:

Figure out the various probabilities first, that will make the rest of the questions easier:

P(discovered) = .7

P(not discovered) = 1 - .7 = .3

P(locator|discovered) = .6

P(no locator|discovered) = 1 - .6 = .4

P(locator|not discovered) = 1 - .9 = .1

P(no locator|not discovered) = .9

P(discovered and locator) = .7 * .6 = .42

P(discovered and no locator) = .7 * .4 = .28

P(not discovered and locator) = .3 * .1 = .03

P(not discovered and no locator) = .3 * .9 = .27

a) The total probability that an aircraft has a locator is .42 + .03 = .45. So the probability it will not be discovered, given it has a locator, is .03/.45 = .067

b) The total probability that an aircraft does not have a locator is .28 + .27 = .55. So the probability it will be discovered, given it does not have a locator, is .28/.55 = .509

c) Probability that 7 are discovered = C(10,7) * P(discovered|locator)^7 * P(not discovered|locator)^3

We already figured out P(not discovered|locator) = .067, so P(discovered|locator) = 1-.067 = .933. C(10,7) = 10*9*8, so we can compute total probability: 10*9*8 * .933^7 * .067^3 = .133

Step-by-step explanation:

Interpret the slope in terms of the situation. Does it make sense?Interpret the y-intercept in terms of the situation. Does it make sense?



Determine the equation of the line of best fit. Write your answer in slope-intercept form. Any non-integers in this problem should be entered as decimal numbers. Round to three decimal places when necessary.

Answers

a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.

b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.

c) The equation of any line is:

y=mx+b (m= slope, b= y-intercept)

The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).

The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m

1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333

This line crosses the y-intercept at about 1.55m

The equation of this line is:

y = .1333 x + 1.55

Answer:

y = 0.133x - 1.791

Step-by-step explanation:

The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:

m = y2 - y1          1.9 - 1.8          0.1

    -------------  =  -----------------  =  --------  =  0.133

     x2 - x1        27.75 - 27        0.75  

Plug the value of the slope into the equation of the line y = mx +b to get .

y = 0.133x + b

Substitute the point (27, 1.8) into the equation and solve for b:

1.8 = 0.133(27) + b

b = -1.791

Plug the value of b into the equation of the line of best fit to get:

y = 0.133x - 1.791

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This answer came straight from the sample answer on Edmentum.com.

I need help finding the domain and range, I already know is not a function​

Answers

Answer:

Domain: [-4, 4]

Range: [-3, 5]

Function? No

Step-by-step explanation:

Domain is all x-values that can be inputted in the graph that returns an output.

Range is all y-values that are outputted when x is inputted.

A function has to pass the Vertical Line Test.

To calculate approximately the amount or value of something is called _________.

Answers

to calculate approximately the amount or value of something is called estimate

Determine which statements about the relationship are true. Choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. The two variables cannot be labeled as independent or dependent without a table of values.

Answers

In this context, g is the independent variable and u is the dependent variable.

Explanation:

A variable is classified as the independent variable if its value is being controlled or manipulated. Conversely, a variable is classified as the dependent variable if its value is being observed or measured. In this context, based on the given statements, it is clear that g is the independent variable and u is the dependent variable.

Therefore, the correct options are: g is the independent variable and u is the dependent variable.

Answer:

1) g is the dependent variable.(A)

2) u is the independent variable.(D)

Step-by-step explanation: